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Simplifying
(1 + -1x)(-1 + -1x) + 0.75 = 0
Multiply (1 + -1x) * (-1 + -1x)
(1(-1 + -1x) + -1x * (-1 + -1x)) + 0.75 = 0
((-1 * 1 + -1x * 1) + -1x * (-1 + -1x)) + 0.75 = 0
((-1 + -1x) + -1x * (-1 + -1x)) + 0.75 = 0
(-1 + -1x + (-1 * -1x + -1x * -1x)) + 0.75 = 0
(-1 + -1x + (1x + 1x2)) + 0.75 = 0
Combine like terms: -1x + 1x = 0
(-1 + 0 + 1x2) + 0.75 = 0
(-1 + 1x2) + 0.75 = 0
Reorder the terms:
-1 + 0.75 + 1x2 = 0
Combine like terms: -1 + 0.75 = -0.25
-0.25 + 1x2 = 0
Solving
-0.25 + 1x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.25' to each side of the equation.
-0.25 + 0.25 + 1x2 = 0 + 0.25
Combine like terms: -0.25 + 0.25 = 0.00
0.00 + 1x2 = 0 + 0.25
1x2 = 0 + 0.25
Combine like terms: 0 + 0.25 = 0.25
1x2 = 0.25
Divide each side by '1'.
x2 = 0.25
Simplifying
x2 = 0.25
Take the square root of each side:
x = {-0.5, 0.5}
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